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Finding the Third Proportional to 4,029 and 5,773.50

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Solution

The third proportional to 4,029 and 5,773.50 is: 8,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029 : 5,773.50 = 5,773.50 : x
  2. Step 2: Convert to fraction form
    4,029/5,773.50 = 5,773.50/x
  3. Step 3: Cross multiply
    4,029x = 5,773.50 × 5,773.50
  4. Step 4: Simplify right side
    4,029x = 33,333,302.25
  5. Step 5: Solve for x
    x = 33,333,302.25/4,029
  6. Step 6: Final answer
    x = 8,273.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.